The number of solutions of the equation `1+cosx+cos2x+sinx+sin2x+sin3x=0,` which satisfy the condition `pi/2<|3x-pi/2|lt=pi` is

Similar Questions

Explore conceptually related problems

Find the number of solutions of the equation 1+cos x+cos2x+sin x+sin2x+sin3x=0,x in[0,pi]

Find the number of solutions of the equation sin5x cos3x=sin6x cos2x,x in[0,pi]

The number of solutions of the equation sin x . Sin 2x. Sin 3x=1 in [0,2pi] is

The number of solutions of the equation sin2x-2cosx+4sinx=4 in the interval [0,5pi] is

The number of solutions of the equation 2cos^(2)x+3sin x-3=0,x in(0,2 pi) is

The number of solutions of the equation sinx-sin2x+sin3x=2cos^(2)x-cosx" in "(0,pi) is

The number of solution of equations sin2x+cos2x+sin x+cos x+1=0 in [0,2 pi]

The number of solutions of the equation sinx. Sin2x.sin3x. Sin4x.sin5x=0 in [0,pi] is equal to

The number of solutions of equations sin2x+cos2x+sin x+cos x+1=0 in [0,2 pi] is